The Differential Quadrature Solution of Reaction-Diffusion Equation Using Explicit and Implicit Numerical Schemes

Faculty Engineering Year: 2014
Type of Publication: ZU Hosted Pages: 327-336
Authors:
Mohamed Salaheldin Mohamed Mohamed Ali
Journal: Applied Mathematics AM Scientific Research Volume: 5
Keywords : , Differential Quadrature Solution , Reaction-Diffusion Equation Using    
Abstract:
In this paper, two different numerical schemes, namely the Runge-Kutta fourth order method and the implicit Euler method with perturbation method of the second degree, are applied to solve the nonlinear thermal wave in one and two dimension
    
     
 
       

Author Related Publications

  • Mohamed Salaheldin Mohamed Mohamed Ali, "Analysis Of Reaction Diffusion Problems Using Differential Quadrature Method", International Journals of Engineering & Sciences, 2013 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "An Efficient Method to Solve Thermal Wave Equation", Scientific Research, 2014 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods", 3, 2022 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Efficient discrete singular convolution differential quadrature algorithm for solitary wave solutions for higher dimensions in shallow water waves", Taylor & Francis, 2022 More
  • Mohamed Salaheldin Mohamed Mohamed Ali, "Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems", MDPI, 2023 More

Department Related Publications

  • Salwa Amien Mohamed ebrhiem, "Exponential higher-order compact scheme for 3D steady convection–diffusion problem", Elsevier, 2014 More
  • Salwa Amien Mohamed ebrhiem, "A modified diffusion coefficient technique for the convection diffusion equation", Elsevier, 2013 More
  • Mohamed Mohamed Ali Mohamed Saied, "Polyline Approximation Of Single-Valued Digital Curves Using Alternating Convex Hulls", Sci.Bull.Fac.Eng.Ain Shams Univ., 2001 More
  • Mohamed Abdel Moneim Abdullah Daly, "Antibiotics Degradation and Bacteria Inactivation in Water by Cold Atmospheric Plasma Discharges Above and Below Water Surface", Springer Nature, 2020 More
  • Ola Ragab Abdou Mohamed, "Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems", MDPI, 2023 More
Tweet